At this point, I don't think Doctor Who is trying to differentiate between Mondas Cybermen, Tellos Cybermen and Cybus Industries Cybermen. The history of the species has always been a convoluted mess that mostly gets glossed over or ignored.

I think they completely killed off the original cybes back in JN-T's days so new DW has no current connection to them. It is clear that there is sufficient difference between the Cybus cybes and the original lot.

This new lot in the second part of the trailer doesn't seem to have the Cybus C on their chests. Just an Iron Man style glowy disc/bulb.